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%I #11 Jun 13 2015 00:49:19
%S 1,2,9,19,75,160,622,1329,5157,11021,42756,91376,354484,757588,
%T 2938977,6281058,24366645,52075371,202020427,431749580,1674922950,
%U 3579575053,13886550633,29677753369,115131438424,246054079584,954538564968
%N Third line of 4-wave sequence A038197.
%H F. v. Lamoen, <a href="http://home.wxs.nl/~lamoen/wiskunde/wave.htm">Wave sequences</a>
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0,10,0,-15,0,7,0,-1).
%F G.f.: (-x^3-x^2+2*x+1) / (x^8-7*x^6+15*x^4-10*x^2+1). - _Alois P. Heinz_, Jul 16 2009
%p a:= n-> (Matrix([[ `if`(irem(n,2)=0, 1, 2), 0, 0, 1]]). Matrix(4, (i,j)-> if i=j-1 then 1 elif j=1 then [10, -15, 7, -1][i] else 0 fi)^iquo(n, 2))[1,1]: seq(a(n), n=0..30); # _Alois P. Heinz_, Jul 16 2009
%K nonn,easy
%O 0,2
%A _Floor van Lamoen_
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